Statistical Probabilities and Distributions

1. Statistical Probabilities and Distributions › The Central Limit Theorem › Triangular Distribution
2. Statistical Probabilities and Distributions › Correlation and Regression › Spearman's coefficient of Rank correlation definition, formula, examples
3. Statistical Probabilities and Distributions › Correlation and Regression › Karl Pearson's coefficient of correlation (Product Moment) short cut method with examples
4. Statistical Probabilities and Distributions › Correlation and Regression › Karl Pearson's coefficient of correlation (Product Moment) with examples
5. Statistical Probabilities and Distributions › Correlation and Regression › Scatter Diagrams, Interpretation and properties of coefficient of correlation
6. Statistical Probabilities and Distributions › Correlation and Regression › Definition and types of correlation,
7. Statistical Probabilities and Distributions › The Central Limit Theorem › Statistical Moments
8. Statistical Probabilities and Distributions › The Central Limit Theorem › Parabolic Distribution
9. Statistical Probabilities and Distributions › The Central Limit Theorem › 1/X Distribution
10. Statistical Probabilities and Distributions › Correlation and Regression › Spearman's coefficient of Rank correlation with repeated Ranks, formula with examples
11. Statistical Probabilities and Distributions › The Central Limit Theorem › Uniform distribution
12. Statistical Probabilities and Distributions › The Central Limit Theorem › Introduction and definition
13. Statistical Probabilities and Distributions › The Student t Distribution › More Examples on Student's t Distribution
14. Statistical Probabilities and Distributions › The Student t Distribution › Limitations of Test of Significance
15. Statistical Probabilities and Distributions › The Student t Distribution › Application 4: To test the significance of an Observed Correlation Coefficient with Examples
16. Statistical Probabilities and Distributions › The Student t Distribution › Application 3: To test the significance of Mean of two Dependent Samples with Examples
17. Statistical Probabilities and Distributions › The Student t Distribution › Application 2: To test the significance of Mean of two Independent Samples with Examples
18. Statistical Probabilities and Distributions › The Student t Distribution › Application 1: To test the significance of Mean of a Random Sample with Examples
19. Statistical Probabilities and Distributions › Correlation and Regression › Limitations and significance of partial correlation
20. Statistical Probabilities and Distributions › Hypothesis Testing, 2, ANOVA › Steps to calculate two way classification with example
21. Statistical Probabilities and Distributions › Hypothesis Testing, 2, ANOVA › Correction Factor:- Definition; Steps to calculate C.F. with example
22. Statistical Probabilities and Distributions › Hypothesis Testing, 2, ANOVA › Steps to calculate one way classification by short cut method with example
23. Statistical Probabilities and Distributions › Hypothesis Testing, 2, ANOVA › Coding og data
24. Statistical Probabilities and Distributions › Hypothesis Testing, 2, ANOVA › Steps to calculate one way classification with example
25. Statistical Probabilities and Distributions › Hypothesis Testing, 2, ANOVA › Definition: SST; SSC; SSE; SSR; MSC; MSE;
26. Statistical Probabilities and Distributions › Correlation and Regression › Merits and demerits of Multiple correlation
27. Statistical Probabilities and Distributions › Correlation and Regression › Multiple correlation:- definitation, Formula and examples
28. Statistical Probabilities and Distributions › The Student t Distribution › Student's t Distribution: Formula; Properties,
29. Statistical Probabilities and Distributions › Correlation and Regression › Zero order, first order, and second order partial correlation with examples.
30. Statistical Probabilities and Distributions › Correlation and Regression › Partial correlation - introduction, formula and use
31. Statistical Probabilities and Distributions › Correlation and Regression › Transformations to Achieve Linearity
32. Statistical Probabilities and Distributions › Correlation and Regression › Residual; Outeliers and Influantial Points
33. Statistical Probabilities and Distributions › Correlation and Regression › Relation between regression coefficient and correlation coefficient with examples
34. Statistical Probabilities and Distributions › Correlation and Regression › Explain Regression Coefficients and Regression Equations with examples
35. Statistical Probabilities and Distributions › Correlation and Regression › Definition, Formulae ,Properties of regression coefficient, ,Properties of regression lines.
36. Statistical Probabilities and Distributions › What are the Odds? › Examples: Odds against; Odd in Favours
37. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value joint distribution
38. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value poisson distribution
39. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value exponential distribution
40. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value binomial distribution
41. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value uniform distribution
42. Statistical Probabilities and Distributions › Simulating Experiments › Conditional Probability
43. Statistical Probabilities and Distributions › Simulating Experiments › Experimental Probability and Simulation
44. Statistical Probabilities and Distributions › Simulating Experiments › Theoratical Probability
45. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value normal distribution
46. Statistical Probabilities and Distributions › What are the Odds? › Definitions: Odds against; Odd in Favours
47. Statistical Probabilities and Distributions › Independence, Complementary › Independence Complement Theorem
48. Statistical Probabilities and Distributions › Independence, Complementary › Independent and joint sets
49. Statistical Probabilities and Distributions › Counting Rules (�+): Permut-/combinations › Counting Rules: Counting Rule 1, Counting Rule 2, Counting Rule 3,Counting Rule 4, Counting Rule 5
50. Statistical Probabilities and Distributions › Counting Rules (�+): Permut-/combinations › Bayes' Theorem with examples
51. Statistical Probabilities and Distributions › Counting Rules (�+): Permut-/combinations › Multiplicatioin Theorem with Examples
52. Statistical Probabilities and Distributions › Counting Rules (�+): Permut-/combinations › The Addition Theorem with Examples
53. Statistical Probabilities and Distributions › Fundamental Definitions for Probability › Mutually exclusive and non exclusive events
54. Statistical Probabilities and Distributions › Queuing Theory and the Poisson Distribution › Poisson Distribution as an approximation of the Binomial Distribution
55. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Examples of Voigt Profiles
56. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Properties and Application of Voigt Profiles
57. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Definition: Voigt Profiles; Voigt Function
58. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Examples of Cauchy Distribution
59. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Second Moment of Cauchy Distribution
60. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Mean of Cauchy Distribution
61. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Properties and Application of Cautchy Distribution
62. Statistical Probabilities and Distributions › The Lorentzian Distribution and Voigt Profiles › Introduction and Definition:- Probability Distribution; Probability Density Function; location Parameter,Scale Parameter; Standard Cauchy Distribution
63. Statistical Probabilities and Distributions › Fundamental Definitions for Probability › Introduction and definitions
64. Statistical Probabilities and Distributions › Queuing Theory and the Poisson Distribution › Fitting a Poisson Distribution with Examples
65. Statistical Probabilities and Distributions › Queuing Theory and the Poisson Distribution › Poisson Distribution: Introduction, formula, Parameters and application with Examples
66. Statistical Probabilities and Distributions › Binomial Experiments and Distributions › Negative Binomial Distribution
67. Statistical Probabilities and Distributions › Binomial Experiments and Distributions › Multinomial distribution
68. Statistical Probabilities and Distributions › Binomial Experiments and Distributions › Binomial Distribution - introduction,Pascal's triangle, Properties, Parameters
69. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value beta distribution
70. Statistical Probabilities and Distributions › General Distributions and Expected Values › expected value probability distribution